Yıl: 2021 Cilt: 14 Sayı: 1 Sayfa Aralığı: 125 - 131 Metin Dili: İngilizce DOI: 10.36890/IEJG.790910 İndeks Tarihi: 20-11-2021

Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3

Öz:
It is well known that the sphere S6(1) admits an almost complex structure J which is nearly Kähler.A submanifold M of an almost Hermitian manifold is called a CR submanifold if it admits adifferentiable almost complex distribution D1 such that its orthogonal complement is a totally realdistribution. In this case the normal bundle of the submanifold also splits into two distributionsD3, which is almost complex, and a totally real complement. In the case of the proper threedimensionalCR submanifold of a six-dimensional manifold the distribution D3 is non-trivial.Here, we investigate three-dimensional CR submanifolds of the sphere S6(1) admitting an umbilicdirection orthogonal to D3 and show that such submanifolds do not exist.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA Antic M, Kocic D (2021). Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. , 125 - 131. 10.36890/IEJG.790910
Chicago Antic Miroslava,Kocic Djordje Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. (2021): 125 - 131. 10.36890/IEJG.790910
MLA Antic Miroslava,Kocic Djordje Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. , 2021, ss.125 - 131. 10.36890/IEJG.790910
AMA Antic M,Kocic D Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. . 2021; 125 - 131. 10.36890/IEJG.790910
Vancouver Antic M,Kocic D Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. . 2021; 125 - 131. 10.36890/IEJG.790910
IEEE Antic M,Kocic D "Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3." , ss.125 - 131, 2021. 10.36890/IEJG.790910
ISNAD Antic, Miroslava - Kocic, Djordje. "Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3". (2021), 125-131. https://doi.org/10.36890/IEJG.790910
APA Antic M, Kocic D (2021). Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. International Electronic Journal of Geometry, 14(1), 125 - 131. 10.36890/IEJG.790910
Chicago Antic Miroslava,Kocic Djordje Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. International Electronic Journal of Geometry 14, no.1 (2021): 125 - 131. 10.36890/IEJG.790910
MLA Antic Miroslava,Kocic Djordje Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. International Electronic Journal of Geometry, vol.14, no.1, 2021, ss.125 - 131. 10.36890/IEJG.790910
AMA Antic M,Kocic D Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. International Electronic Journal of Geometry. 2021; 14(1): 125 - 131. 10.36890/IEJG.790910
Vancouver Antic M,Kocic D Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3. International Electronic Journal of Geometry. 2021; 14(1): 125 - 131. 10.36890/IEJG.790910
IEEE Antic M,Kocic D "Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3." International Electronic Journal of Geometry, 14, ss.125 - 131, 2021. 10.36890/IEJG.790910
ISNAD Antic, Miroslava - Kocic, Djordje. "Three-Dimensional CR Submanifolds in S6(1) with Umbilical Direction Normal to D3". International Electronic Journal of Geometry 14/1 (2021), 125-131. https://doi.org/10.36890/IEJG.790910